The efficient delivery of mRNA, proteins and other molecular products to their correct location within a cell (intracellular transport) is of fundamental importance to normal cellular function and development. Broadly speaking, there are two basic mechanisms for intracellular transport: passive diffusion within the cytosol or the surrounding plasma membrane of the cell, and active motor-driven transport along polymerized filaments such as microtubules and F-actin that comprise the cytoskeleton.
P. C. Bressloff and J. M. Newby. Stochastic models of intracellular transport (Review) Rev. Mod. Phys. 85 135-196 (2013)
P. C. Bressloff. Trapping of an active Brownian particle at a partially absorbing wall. Submitted (2023).
P. C. Bressloff. Encounter-based model of a run-and-tumble particle II: absorption at sticky boundaries. Submitted (2023).
P. C. Bressloff. Encounter-based model of a run-and-tumble particle. J. Stat. mech. 113206 (2022).
P. C. Bressloff. Occupation time of a run-and-tumble particle with resetting. Phys. Rev. E 102 042135 (2020)
P. C. Bressloff. Directional search-and-capture model of cytoneme-based morphogenesis. SIAM J. Appl. Math 81 919-938 (2021)
P. C. Bressloff and H. Kim. A search-and-capture model of cytoneme-mediated morphogen gradient formation Phys. Rev. E 99 052401 (2019).
H. Kim and P. C. Bressloff. Impulsive signaling model of cytoneme-based morphogen gradient formation Phys. Biol. 16 056005 (2019).
H. Kim and P. C. Bressloff. Direct vs. synaptic contacts in a mathematical model of cytoneme-based morphogen gradient formation SIAM J. Appl. Math 78 2323-2347 (2018).
P. C. Bressloff and H. Kim. Bidirectional transport model of morphogen gradient formation via cytonemes Phys. Biol. 15 026010 (2018).
R. D. Schumm and P. C. Bressloff. Search processes with stochastic resetting and partially absorbing targets. J. Phys. A 54 404004 (2021)
P. C. Bressloff. Accumulation time of stochastic processes with resetting. J. Phys. A 54 54 354001 (2021)
P. C. Bressloff. Drift-diffusion on a Cayley tree with stochastic resetting: the localization-delocalization transition. J. Stat. Mech. 063206 (2021)
P. C. Bressloff. Stochastic resetting and the mean-field dynamics of focal adhesions. Phys. Rev. E 102 022134 (2020)
P. C. Bressloff. Switching diffusions and stochastic resetting. J. Phys. A 53 275003 (2020)
P. C. Bressloff. Diffusive search for a stochastically-gated target with resetting. J. Phys. A 53 425001 (2020)
P. C. Bressloff. Queueing theory of search processes with stochastic resetting. Phys. Rev. E 102 032109 (2020)
P. C. Bressloff. Search processes with stochastic resetting and multiple targets. Phys. Rev. E 102 022115 (2020)
P. C. Bressloff. Modeling active cellular transport as a directed search process with stochastic resetting and delays. J. Phys. A 53 355001 (2020)
P. C. Bressloff. Directed intermittent search with stochastic resetting. J. Phys. A 53 105001 (2020)
P. C. Bressloff. Queuing model of axonal transport. Brain Multiphysics 2 100042 (2021)
B. Karamched and P. C. Bressloff. Effects of geometry on reversible vesicular transport. J. Phys. A 50 055601 (2017).
P. C. Bressloff and B. Karamched. Model of reversible vesicular transport with exclusion J. Phys. A 49 345602 (2016).
P. C. Bressloff. Aggregation-fragmentation model of vesicular transport in neurons. J. Phys. A 49 145601 (2016).
P. C. Bressloff and E. Levien. Synaptic democracy and active intracellular transport in axons. Phys. Rev. Lett. 114 168101 (2015).
P. C. Bressloff and J. Newby. Quasi-steady state analysis of motor-driven transport on a two-dimensional microtubular network. Phys. Rev. E 83 061139 (2011).
J. Newby and P. C. Bressloff. Local synaptic signalling enhances the stochastic transport of motor-driven cargo in neurons. Phys. Biol. 7 036004 (2010).
J. Newby and P. C. Bressloff. Random intermittent search and the tug-of-war model of motor-driven transport. J. Stat. Mech. P04014 (2010).
J. Newby and P. C. Bressloff. Quasi-steady state reduction of molecular-based models of directed intermittent search. Bull. Math. Biol. 72 1840-1866 (2010).
J. Newby and P. C. Bressloff. Directed intermittent search for a hidden target on a dendritic tree network. Phys. Rev. E 021913 (2009).
P. C. Bressloff and J. Newby. Intermittent search strategies for delivering mRNA particles to synaptic targets. New J. Phys. 11 023033 (2009).
P. C. Bressloff. A stochastic model of intraflagellar transport. Phys. Rev. E 73 061916 (2006).
P. C. Bressloff and B. Karamched. A doubly stochastic Poisson model of flagellar length control. SIAM J. Appl. Math 78 719-741 (2018).
P. C. Bressloff and B. Karamched. A frequency-dependent decoding mechanism for axonal length sensing. Front. Cellular Neurosci. 9 281 (2015).
B. Karamched and P. C. Bressloff. A delayed feedback model of axonal length sensing. Biophys. J 108 2408-2419 (2015).
P. C. Bressloff. A stochastic model of intraflagellar transport. Phys. Rev. E 73 061916 (2006).